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Finding the Fourth Proportional to 1,407.54, 2,109.14 and 585.12

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Solution

The fourth proportional to 1,407.54, 2,109.14 and 585.12 is: 876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.54 : 2,109.14 = 585.12 : x
  2. Step 2: Convert to fraction form
    1,407.54/2,109.14 = 585.12/x
  3. Step 3: Cross multiply
    1,407.54x = 2,109.14 × 585.12
  4. Step 4: Simplify right side
    1,407.54x = 1,234,100.00
  5. Step 5: Solve for x
    x = 1,234,100.00/1,407.54
  6. Step 6: Final answer
    x = 876.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.